Two identical conducting spheres are charged by induction and then separated by a large distance; sphere 1 has charge +q and sphere 2 has charge −q. a third identical sphere is initially uncharged. if sphere 3 is touched to sphere 1 and separated, then touched to sphere 2 and separated, what is the final charge on each of the three spheres? give your answer in terms of q

On january 1, 2018, red flash photography had the following balances: cash, $19,000; supplies, $8,700; land, $67,000; deferred revenue, $5,700; common stock $57,000; and retained earnings, $32,000. during 2018, the company had the following transactions: 1. february 15 issue additional shares of common stock, $27,000. 2. may 20 provide services to customers for cash, $42,000, and on account, $37,000. 3. august 31 pay salaries to employees for work in 2018, $30,000. 4. october 1 purchase rental space for one year, $19,000. 5. november 17 purchase supplies on account, $29,000. 6. december 30 pay dividends, $2,700. the following information is available on december 31, 2018: 1. employees are owed an additional $4,700 in salaries. 2. three months of the rental space has expired. 3. supplies of $5,700 remain on hand. 4. all of the services associated with the beginning deferred revenue have been performed.required: 1. record the transactions that occurred during the year.2. record the adjusting entries at the end of the year.3. prepare an adjusted trial balance.4. prepare an income statement, statement of stockholders’ equity, and classified balance sheet.5. prepare closing entries.

Horace society is planning its annual western fair raceway gala. the gala committee has assembled the following expected costs for the event: dinner (per person) $10 gaming token and program (per person) $2 prize payouts $4,300 tickets and advertising $800 private box suite rental $1,700 lottery licenses $200 the committee members would like to charge $40 per person for the evening’s activities.required: 1. what is the break-even point for the dinner-dance (in terms of the number of persons who must attend)? 2. assume that last year only 200 persons attended the dinner-dance. if the same number attend this year, what price per ticket must be charged in order to break even? 3. refer to the original data ($40 ticket price per person). prepare a cvp graph for the dinner- dance from zero tickets up to 600 tickets sold.

Oz makes lion food out of giraffe and gazelle meat. giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. a batch of lion food must contain at least "46,800" grams of protein and 70,200 grams of fat. giraffe meat costs $1/pound and gazelle meat costs $2/pound. how many pounds of each should go into each batch of lion food in order to minimize costs? hint [see example 2.]